With East on your right and west on your left you would be facing north.
You can tell which side of the equator you are on by the way water swirls. Northern Hemisphere water drains clockwise. If water draining has no spin then you're on the equator.
Sometimes the moss on trees is enough of an indicator, as moss growing on only one side of a tree means no sunlight reaches it and the moss faces the direction opposite of the equator.
The water thing is a myth. Any body of water you can actively watch drain is influenced by the shape of the reservoir and direction the water is added to it.
To be fair I had to look it up too. Seems the Coriolis effect COULD impact a perfectly still container of water that was opened suddenly, but other forces are going to be significantly more impactful on a small body of water.
What about the videos recorded in Ecuador, where the same reservoir is drained on both sides of the equator and the water spins in different directions?
Idk why you're being downvoted for this comment but it's actually a really cool sleight of hand trick where the guy pouring the water gives it a small swirl in the direction they want the water to drain.